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Properties of a class of block-iterative methods
Linköpings universitet, Matematiska institutionen, Beräkningsvetenskap. Linköpings universitet, Tekniska högskolan.
Iran University of Science & Technology.
2009 (engelsk)Inngår i: INVERSE PROBLEMS, ISSN 0266-5611, Vol. 25, nr 11Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We study a class of block-iterative (BI) methods proposed in image reconstruction for solving linear systems. A subclass, symmetric block-iteration (SBI), is derived such that for this subclass both semi-convergence analysis and stopping-rules developed for fully simultaneous iteration apply. Also results on asymptotic convergence are given, e. g., BI exhibit cyclic convergence irrespective of the consistency of the linear system. Further it is shown that the limit points of SBI satisfy a weighted least-squares problem. We also present numerical results obtained using a trained stopping rule on SBI.

sted, utgiver, år, opplag, sider
2009. Vol. 25, nr 11
HSV kategori
Identifikatorer
URN: urn:nbn:se:liu:diva-51891DOI: 10.1088/0266-5611/25/11/115011OAI: oai:DiVA.org:liu-51891DiVA, id: diva2:278065
Tilgjengelig fra: 2009-11-23 Laget: 2009-11-23 Sist oppdatert: 2009-11-23

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